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Simplified method and synchronization for a class of complex chaotic systems
Author(s) -
Huang Lilian,
Zhang Zefeng,
Xiang Jianhong
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6008
Subject(s) - lorenz system , synchronization (alternating current) , mathematics , chaotic , class (philosophy) , complex system , control theory (sociology) , component (thermodynamics) , linear system , chaotic systems , computer science , control (management) , topology (electrical circuits) , attractor , mathematical analysis , artificial intelligence , combinatorics , physics , thermodynamics
Abstract This paper is devoted to investigate a class of complex chaotic systems and a linear correlation between the real and imaginary component of complex variables in these systems is found. Based on this linear relationship, a simplified law is proposed. First, complex Lorenz system is given to show the linear correlation, then it is simplified. Second, a simplified law is proposed to determine whether the complex system can be simplified, and the complex Lü system and hyperchaotic complex Lü system are used to verify the simplified law. Finally, a new synchronization control is proposed to synchronize complex Lorenz system and real Lorenz system. The theoretical analysis and numerical simulation prove the feasibility and better performance of this method.